Processing a noisy analogue signal
A device is provided for correlating at least one noisy analog signal which is one of a plurality of signals obtained by a plurality of receivers. The device comprises a 1-bit quantization element to which the noisy signal is supplied; a comparator configured to compare the quantized signal with a reference signal which is a consensus signal obtained by averaging data from the plurality of receivers; and an up/down counter that is configured to be incremented by a subset of the comparison signal.
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The present invention relates to a method of, and a device for, correlating at least one noisy analogue signal which is one of a plurality of signals obtained by a plurality of receivers.
BACKGROUNDThe correlation of one or more noisy analogue signals may be effective even when the signal is polluted by noise that is of greater amplitude than the signal. One known approach is to correlate the noisy analogue signal with another signal, such as a reference signal of known characteristics. This is achieved by multiplying together the two signals and then integrating the result. When the integral is near-zero, the signals are not correlated. When the integral is strongly positive, the signals are correlated and when the integral is strongly negative, the signals are correlated, but one is inverted in relation to the other.
However, analogue integrators are prone to drift. Furthermore, the multiplication and integration of the two signals is quite resource intensive.
The present invention has been devised in part to address these issues.
SUMMARYAccording to a first aspect of the present invention there is provided a method of correlating at least one noisy analogue signal, wherein the noisy signal is one of a plurality of signals obtained by a plurality of receivers; the method comprising the steps of:
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- 1-bit quantising the noisy signal;
- comparing the quantised signal with a quantised reference signal, wherein the reference signal is a consensus signal obtained by averaging data from the plurality of receivers; and
- sampling the comparison signal (in other words a signal resulting from the comparing step) to increment an up/down counter.
When working with a very noisy signal, digitising the signal using 1-bit quantisation extracts the majority of the available information from the noisy signal. The presence of a lot of noise means that the provision of additional resolution in the digital signal would not add any further information.
The step of sampling the comparison signal to increment an up/down counter, effectively performs the integration required to identify the correlation, or lack thereof, between the signals. The use of an up/down counter, in place of the integrator required in the analogue approach known in the art, provides a much less computationally intensive operation, by merely adding rather than performing an integration.
The presence of a large amount of random noise affects the value of the count proportional to the signal-to-noise ratio of the noisy signal. The strength of the required signal can be measured and optimised even when the noise is much stronger.
Noise contributed by each receiver is generally independently from noise contributed by the other receivers. Thus, correlating the signals in this way can reduce the noise associated with the reference or consensus signal.
Each of the plurality of signals may originate from a single source. The signal from the source may be an n-state phase-shift keyed signal.
The method may comprise: identifying, i.e. determining, the phase offset between the phase of the noisy signal and the phase of the reference signal by considering the value of the up/down counter; and altering the phase of the noisy signal to correct for the phase offset.
The method may comprise: 1-bit quantising each of in-phase and quadrature components of the noisy signal; comparing each of the quantised in-phase and quadrature components of the noisy signal with each of quantised in-phase and quadrature components of the reference signal; if the quantised in-phase components of the noisy signal and the reference signal are equal, incrementing or decrementing a first up/down counter in a first direction (e.g. up) and, if not, incrementing or decrementing the first up/down counter in a second direction (e.g. down); if the quantised quadrature components of the noisy signal and the reference signal are equal, incrementing or decrementing the first up/down counter in the first direction and, if not, incrementing or decrementing the first up/down counter in the second direction; if the quantised in-phase component of the noisy signal and the quantised quadrature component of the reference signal are equal, incrementing or decrementing a second up/down counter in a first direction and, if not, incrementing or decrementing the second up/down counter in a second direction; and if the quantised quadrature component of the noisy signal and the quantised in-phase component of the reference signal are equal, incrementing or decrementing the second up/down counter in the second direction and, if not, incrementing or decrementing the second up/down counter in the first direction.
The method may comprise stopping the first and second up/down counters when one of the first and second up/down counters reaches full scale.
The method may comprise: determining the phase offset between the phase of the noisy signal and the phase of the reference signal by considering the values of the first and second up/down counters; altering the phase of the noisy signal in order to correct for the phase offset; and resetting the first and second up/down counters.
The method may comprise inverting the quantised signal if there is a strong negative correlation.
The method may comprise excluding the noisy signal from the consensus signal if the noisy signal consistently sits beyond a predetermined range of the consensus signal.
According to a second aspect of the present invention there is provided a device for correlating at least one noisy analogue signal, wherein the noisy signal is one of a plurality of signals obtained by a plurality of receivers, the device comprising:
a 1-bit quantisation element to which is supplied, in use, the noisy signal;
a comparator configured to compare the quantised signal with a reference signal, wherein the reference signal is a consensus signal obtained by averaging data from the plurality of receivers; and
an up/down counter that is configured to be incremented by a subset of the comparison signal (in other words a signal provided by the comparator).
The device may comprise a sampling device configured to sample the comparison signal, and the up/down counter may be configured to be incremented each time, or just after each time, the sampling device samples the comparison signal.
The comparator may be an XOR logic operator.
The device may be configured to alter the phase of the noisy analogue signal. The phase alteration of the noisy signal is performed in order to optimise the correlation.
The device may further comprise a control block configured to reset the or each up/down counter.
There may be provided apparatus comprising the plurality of receivers, each of the plurality of receivers comprising the device.
Further optional features of the present invention are specified in the dependent claims.
Certain embodiments of the present invention are described below, by way of example only, with reference to the accompanying
The noisy analogue signal 200 is provided modulated onto a microwave frequency carrier. It is introduced to low noise amplifier 102 then to multipliers 104 which brings the signal back to baseband. The signal is then filtered at filter 106 which removes signals outside the baseband frequency band.
Once the noisy signal 200 has been prepared, it can then be digitised in the 1-bit quantisation elements 110. Similar 1-bit quantisation elements 130 are provided to digitise the consensus signal 210. The elements 110, 130 identify whether or not the signal exceeds a predetermined level and allocate a binary value as appropriate. The noisy signal 200 is then provided to an XOR gate which has its other input controlled in order to either maintain or invert the signal. The provision of the XOR gates enables a strongly negative correlation to be inverted to provide a strongly positive correlation or vice versa.
A comparator 120 is provided to compare the prepared, and potentially inverted, noisy signal 200 (In, Qn) with the consensus signal 210 (ΣI, ΣQ). The comparator 120 comprises four XOR gates 122, 124, 126 and 128. XOR gates 124 and 126 give correlation of the amplitude of the signal. Whilst XOR gates 122 and 128 give correlation of the phase of the signal.
The outputs of the four XOR gates control the UP/DOWN status of a counter block 140 which is clocked at intervals as frequent as is justified by the frequency bandwidth of the signal being received. There is a counter that gives the amplitude of correlation and a counter that gives the phase error. The counter that gives the amplitude of correlation is incremented or decremented according to:
If In=ΣI count up
If Qn=ΣQ count up
If In≠ΣI count down
If Qn≠ΣQ count down
The counter that gives the phase error is incremented or decremented according to:
If In=ΣQ count up
If In≠ΣQ count down
If Qn=ΣI count down
If Qn≠ΣI count up
When one of the counters reaches full scale, either positive or negative, counting is stopped on the counters. By considering the value of the counters, the phase offset can be identified and the control block 150 is configured to control an oscillator 160 which alters the phase of the signal in the multipliers 104 in order to correct the phase. A signal from the control block 150 resets the counters, i.e. to their mid range zero position. Another reading may be then commenced. Accordingly, the phase offset is driven to zero.
The phase offset is equal to an angle defined by the values of the counters. In particular, if the value (hereinafter referred to as the “phase counter value”) of the counter that gives the phase error is plotted on the x-axis and the value of the counter that gives the amplitude of correlation (hereinafter referred to as the “amplitude counter value”) is plotted on the y-axis, then the phase error is defined as the angle between the (vertical) line which is the positive part of the y-axis and the line from the origin to the point whose x- and y-coordinates are defined by the phase counter value and amplitude counter value respectively. The angle is defined such that is can vary between −180 degrees (minus 180 degrees) and +180 degrees (plus 180 degrees). The angle is negative if the phase counter value is negative and vice versa. Accordingly, the angle is given by the arctangent of the ratio of the phase counter value to the (full-scale) amplitude counter value for angles between −45 degrees and +45 degrees, by 90 degrees minus the arctangent of the ratio of the amplitude counter value to the (full-scale) phase counter value for angles between +45 degrees and +135 degrees, etc.
It is not necessary to determine the phase offset when one of the counters has reached full scale. The phase offset can be determined from any pair of phase and amplitude counter values.
In order to preserve the integrity of the consensus signal 210, one or more of the receivers, or parts thereof, may have to be disregarded. This is achieved using a control circuit 170. Signals from receivers can only be included in the consensus signal if they are within a predetermined percentage of the consensus signal. If the noisy signal 200 consistently sits beyond the predetermined range, despite inverting the signal with the XOR gates 112 and changing the phase by up to 90° using the oscillator 160 then the control circuit 170 can exclude it from the consensus signal. This enhances the integrity of the consensus signal.
The control block 150 is also provided with a power on reset facility 180 which ensures that the up/down counters are all reset to their midrange zero point when the device 100 is initialised.
It will be appreciated that many other modifications may be made to the embodiments hereinbefore described.
Claims
1. A method of correlating at least one noisy analogue signal, wherein the noisy signal is one of a plurality of signals obtained by a plurality of receivers, the method comprising:
- 1-bit quantising the noisy signal by 1-bit quantising each of in-phase and quadrature components of the noisy signal;
- comparing the quantised signal with a quantised reference signal by comparing each of the quantised in-phase and quadrature components of the noisy signal with each of quantised in-phase and quadrature components of the reference signal, wherein the reference signal is a consensus signal obtained by combining data from the plurality of receivers and if the quantised in-phase components of the noisy signal and the reference signal are equal, incrementing or decrementing a first counter value in a first direction and, if not, incrementing or decrementing the first counter value in a second direction; and if the quantised quadrature components of the noisy signal and the reference signal are equal, incrementing or decrementing the first counter value in the first direction and, if not, incrementing or decrementing the first counter value in the second direction; and if the quantised in-phase component of the noisy signal and the quantised quadrature component of the reference signal are equal, incrementing or decrementing a second counter value in a first direction and, if not, incrementing or decrementing the second counter value in a second direction; and if the quantised quadrature component of the noisy signal and the quantised in-phase component of the reference signal are equal, incrementing or decrementing the second counter value in the second direction and, if not, incrementing or decrementing the second counter value in the first direction.
2. The method according to claim 1, comprising:
- stopping incrementing or decrementing the first and second down counter values when one of the first and second counter values reaches full scale.
3. The method according to claim 1, comprising:
- determining the phase offset between the phase of the noisy signal and the phase of the reference signal by considering the first and second counter values;
- altering the phase of the noisy signal in order to correct for the phase offset; and
- resetting the first and second counter values.
4. The method according to claim 1, comprising inverting the quantised signal if there is a strong negative correlation.
5. The method according to claim 1, comprising excluding the noisy signal from the consensus signal if the noisy signal consistently sits beyond a predetermined range of the consensus signal.
6. The method according to claim 1, wherein the reference signal is obtained by at least one of summing and averaging data from the plurality of receivers.
7. A device for correlating at least one noisy analogue signal, wherein the noisy signal is one of a plurality of signals obtained by a plurality of receivers, the device comprising:
- a 1-bit quantisation to which is supplied, in use, the noisy signal, wherein the 1-bit quantisation element is configured to 1-bit quantise each of in-phase and quadrature components of the noisy signal;
- a comparator configured to compare the quantised signal with a reference signal to generate a comparison signal, wherein the comparator is configured to compare each of the quantised in-phase and quadrature components of the noisy signal, with each of quantised in-phase and quadrature components of the reference signal, wherein the reference signal is a consensus signal obtained by combining data from the plurality of receivers; and
- first and second counters that are each configured to be incremented or decremented by at least some of the comparison signal, wherein:
- if the quantised in-phase components of the noisy signal and the reference signal are equal, the first counter is configured to be incremented or decremented in a first direction and, if not, the first counter is configured to be incremented or decremented in a second direction; and
- if the quantised quadrature components of the noisy signal and the reference signal are equal, the first counter is configured to be incremented or decremented in the first direction and, if not, the first counter is configured to be incremented or decremented in the second direction;
- if the quantised in-phase component of the noisy signal and the quantised quadrature component of the reference signal are equal, the second counter is configured to be incremented or decremented in a first direction and, if not, the second counter is configured to be incremented or decremented in a second direction; and
- if the quantised quadrature component of the noisy signal and the quantised in-phase component of the reference signal are equal, the second counter is configured to be incremented or decremented in the second direction and, if not, the second counter is configured to be incremented or decremented in the first direction.
8. The device according to claim 7, further comprising a sampling device configured to sample the comparison signal, and wherein the up/down each counter is configured to be incremented each time the sampling device samples the comparison signal.
9. The device according to claim 7, comprising an oscillator configured to modify the phase of the quantised signal.
10. The device according to claim 7, wherein the comparator is an XOR gate.
11. The device according to claim 7, wherein:
- the first and second counters are configured to be stopped when one of the first and second counters reaches full scale.
12. The device according to claim 7, wherein:
- the device is configured to determine the phase offset between the phase of the noisy signal and the phase of the reference signal from the values of the first and second counters and
- the device comprises a control block configured to control an oscillator which alters the phase of the noisy signal in order to correct for the phase offset.
13. The device according to claim 7, comprising a control block configured to reset each counter.
14. The device according to claim 7, comprising an inverting element configured to invert the quantised signal if there is a strong negative correlation.
15. The device according to claim 7, comprising a control circuit configured to exclude the noisy signal from the consensus signal if the noisy signal consistently sits beyond a predetermined range of the consensus signal.
16. Apparatus comprising the plurality of receivers, each of the plurality of receivers comprising the device according to claim 7.
17. The device according to claim 7, wherein the reference signal is obtained by at least one of summing and averaging data from the plurality of receivers.
18. A method of correlating at least one noisy analogue signal, wherein the noisy signal is one of a plurality of signals obtained by a plurality of receivers, the method comprising:
- 1-bit quantising the noisy signal by 1-bit quantising each of in-phase and quadrature components of the noisy signal;
- 1-bit quantising a reference signal, wherein the reference signal is a consensus signal obtained by combining data from the plurality of receivers,
- comparing the quantised noisy signal with the quantised reference signal by comparing each of the quantised in-phase and quadrature components of the noisy signal with each of quantised in-phase and quadrature components of the reference signal,
- performing at least one of the following steps (a) and (b);
- (a) incrementing or decrementing a first counter value as follows: if the quantised in-phase components of the noisy signal and the reference signal are equal, incrementing or decrementing the first counter value in a first direction and, if not, incrementing or decrementing the first counter value in a second direction, and if the quantised quadrature components of the noisy signal and the reference signal are equal, incrementing or decrementing the first counter value in the first direction and, if not, incrementing or decrementing the first counter value in the second direction;
- (b) incrementing or decrementing a second counter value as follows: if the quantised in-phase component of the noisy signal and the quantised quadrature component of the reference signal are equal, incrementing or decrementing the second counter value in a first direction and, if not, incrementing or decrementing the second counter value in a second direction; and if the quantised quadrature component of the noisy signal and the quantised in-phase component of the reference signal are equal, incrementing or decrementing the second counter value in the second direction and, if not, incrementing or decrementing the second counter value in the first direction.
19. The method according to claim 18, further comprising inverting the quantised noisy signal if there is a strong negative correlation.
20. The method according to claim 18, further comprising excluding the noisy signal from the consensus signal if the noisy signal consistently sits beyond a predetermined range of the consensus signal.
21. The method according to claim 18, wherein the reference signal is obtained by at least one of summing and averaging data from the plurality of receivers.
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Type: Grant
Filed: Aug 23, 2013
Date of Patent: Apr 18, 2017
Patent Publication Number: 20150244403
Assignee: Phasor Solutions Limited (Ledbury)
Inventor: Richard Hammond Mayo (Ledbury)
Primary Examiner: Lana N Le
Application Number: 14/423,652
International Classification: H04B 1/16 (20060101); H04B 1/10 (20060101); H04L 27/227 (20060101); H04L 27/00 (20060101);
